MAC1105 Lecture 11: 3.4 Library of Functions Piecewise-Defined Functions Notes
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Provide a generalization to the terms listed in this section. Increasing on the interval of (0, ) and decreasing never. This is an odd function since this function is symmetric with respect to the origin. Increasing on the interval of ( , ) and decreasing never. Contains no absolute minimum and no absolute maximum. All values of y, but when y is greater than 0, which can be written as {y | y 0}. This is an even function since this function is symmetric with respect to the y-axis. Decreasing on the interval of ( , 0) and increasing on the interval of (0, ). Contains an absolute minimum of 0 at x = 0 with no absolute maximum. What is b? is and must only be a real number. Horizontal line whose y-intercept is b, which constant functions are all even functions.